Search a number
-
+
1028708352 = 21132721767
BaseRepresentation
bin111101010100001…
…101100000000000
32122200200210120100
4331110031200000
54101322131402
6250024442400
734330606500
oct7524154000
92580623510
101028708352
114887518a1
12248619400
1313517c289
149a8a1a00
15604a271c
hex3d50d800

1028708352 has 432 divisors, whose sum is σ = 3714099480. Its totient is φ = 272498688.

The previous prime is 1028708347. The next prime is 1028708357. The reversal of 1028708352 is 2538078201.

It is an interprime number because it is at equal distance from previous prime (1028708347) and next prime (1028708357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028708357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15353823 + ... + 15353889.

Almost surely, 21028708352 is an apocalyptic number.

1028708352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028708352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857049740).

1028708352 is an abundant number, since it is smaller than the sum of its proper divisors (2685391128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1028708352 is a wasteful number, since it uses less digits than its factorization.

1028708352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1028708352 is about 32073.4836274453. The cubic root of 1028708352 is about 1009.4793094310.

The spelling of 1028708352 in words is "one billion, twenty-eight million, seven hundred eight thousand, three hundred fifty-two".